Question

a rectangular field is 280 m long and 100 m wide. two cross roads, one parallel to the length of the field and the others parallel to the breadth of the field are constructed at the centre of the field. if each of the of the roads are 12 meters broad, find the the following:
1)area of cross roads
2)area of remaining field

Answer 1

1st answer 4704m2
2nd answer 28000m2

Answer 2

Answer:

Area of cross roads = $4416 {m}^{2}$

Area of remaining field = $23584 {m}^{2}$

Step-by-step explanation:

Area of road lengths will be =$280 \times 12 = 3360 {m}^{2}$

Area of road breadth wise = $100 \times 12 = 1200 {m}^{2}$

Area of cross roads =

=$3360 + 1200 - 144$

=$4560 - 144$

=$4416 {m}^{2}$

Area of remaining field =

=$(280 \times 100) - 4416 {m}^{2}$

=$28000 - 416$

=$23584 {m}^{2}$